Question

Simplify$\sin (90-x)$

Answer 1

Simplify $\sin (90-x)$

We know the trigonometric identity

sin (A – B) = sin A.cos B – sin B.cos A

Hence substituting A= 90 and B= A in the above identity. We get
sin (90 – x) = sin 90.cos x – sin x cos 90.
We have learnt that sin 90 = 1, And cos 90 = 0
$\sin (90-x)-\cos x$

Therefore, the required result is $\sin (90-x)-\cos x$.